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Finding the Fourth Proportional to 9,722.56, 14,561.95 and 6,813.85

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Solution

The fourth proportional to 9,722.56, 14,561.95 and 6,813.85 is: 10,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.56 : 14,561.95 = 6,813.85 : x
  2. Step 2: Convert to fraction form
    9,722.56/14,561.95 = 6,813.85/x
  3. Step 3: Cross multiply
    9,722.56x = 14,561.95 × 6,813.85
  4. Step 4: Simplify right side
    9,722.56x = 99,222,943.01
  5. Step 5: Solve for x
    x = 99,222,943.01/9,722.56
  6. Step 6: Final answer
    x = 10,205.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.